{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Time Series Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.macrodata.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DatetimeIndex(['1959-03-31', '1959-06-30', '1959-09-30', '1959-12-31',\n",
      "               '1960-03-31', '1960-06-30', '1960-09-30', '1960-12-31',\n",
      "               '1961-03-31', '1961-06-30',\n",
      "               ...\n",
      "               '2007-06-30', '2007-09-30', '2007-12-31', '2008-03-31',\n",
      "               '2008-06-30', '2008-09-30', '2008-12-31', '2009-03-31',\n",
      "               '2009-06-30', '2009-09-30'],\n",
      "              dtype='datetime64[ns]', length=203, freq=None)\n"
     ]
    }
   ],
   "source": [
    "index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n",
    "print(index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "dta.index = index\n",
    "del dta['year']\n",
    "del dta['quarter']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "    Number of Observations - 203\n",
      "\n",
      "    Number of Variables - 14\n",
      "\n",
      "    Variable name definitions::\n",
      "\n",
      "        year      - 1959q1 - 2009q3\n",
      "        quarter   - 1-4\n",
      "        realgdp   - Real gross domestic product (Bil. of chained 2005 US$,\n",
      "                    seasonally adjusted annual rate)\n",
      "        realcons  - Real personal consumption expenditures (Bil. of chained\n",
      "                    2005 US$, seasonally adjusted annual rate)\n",
      "        realinv   - Real gross private domestic investment (Bil. of chained\n",
      "                    2005 US$, seasonally adjusted annual rate)\n",
      "        realgovt  - Real federal consumption expenditures & gross investment\n",
      "                    (Bil. of chained 2005 US$, seasonally adjusted annual rate)\n",
      "        realdpi   - Real private disposable income (Bil. of chained 2005\n",
      "                    US$, seasonally adjusted annual rate)\n",
      "        cpi       - End of the quarter consumer price index for all urban\n",
      "                    consumers: all items (1982-84 = 100, seasonally adjusted).\n",
      "        m1        - End of the quarter M1 nominal money stock (Seasonally\n",
      "                    adjusted)\n",
      "        tbilrate  - Quarterly monthly average of the monthly 3-month\n",
      "                    treasury bill: secondary market rate\n",
      "        unemp     - Seasonally adjusted unemployment rate (%)\n",
      "        pop       - End of the quarter total population: all ages incl. armed\n",
      "                    forces over seas\n",
      "        infl      - Inflation rate (ln(cpi_{t}/cpi_{t-1}) * 400)\n",
      "        realint   - Real interest rate (tbilrate - infl)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.macrodata.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             realgdp  realcons  realinv  realgovt  realdpi    cpi     m1  \\\n",
      "1959-03-31  2710.349    1707.4  286.898   470.045   1886.9  28.98  139.7   \n",
      "1959-06-30  2778.801    1733.7  310.859   481.301   1919.7  29.15  141.7   \n",
      "1959-09-30  2775.488    1751.8  289.226   491.260   1916.4  29.35  140.5   \n",
      "1959-12-31  2785.204    1753.7  299.356   484.052   1931.3  29.37  140.0   \n",
      "1960-03-31  2847.699    1770.5  331.722   462.199   1955.5  29.54  139.6   \n",
      "1960-06-30  2834.390    1792.9  298.152   460.400   1966.1  29.55  140.2   \n",
      "1960-09-30  2839.022    1785.8  296.375   474.676   1967.8  29.75  140.9   \n",
      "1960-12-31  2802.616    1788.2  259.764   476.434   1966.6  29.84  141.1   \n",
      "1961-03-31  2819.264    1787.7  266.405   475.854   1984.5  29.81  142.1   \n",
      "1961-06-30  2872.005    1814.3  286.246   480.328   2014.4  29.92  142.9   \n",
      "\n",
      "            tbilrate  unemp      pop  infl  realint  \n",
      "1959-03-31      2.82    5.8  177.146  0.00     0.00  \n",
      "1959-06-30      3.08    5.1  177.830  2.34     0.74  \n",
      "1959-09-30      3.82    5.3  178.657  2.74     1.09  \n",
      "1959-12-31      4.33    5.6  179.386  0.27     4.06  \n",
      "1960-03-31      3.50    5.2  180.007  2.31     1.19  \n",
      "1960-06-30      2.68    5.2  180.671  0.14     2.55  \n",
      "1960-09-30      2.36    5.6  181.528  2.70    -0.34  \n",
      "1960-12-31      2.29    6.3  182.287  1.21     1.08  \n",
      "1961-03-31      2.37    6.8  182.992 -0.40     2.77  \n",
      "1961-06-30      2.29    7.0  183.691  1.47     0.81  \n"
     ]
    }
   ],
   "source": [
    "print(dta.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "dta.realgdp.plot(ax=ax);\n",
    "legend = ax.legend(loc = 'upper left');\n",
    "legend.prop.set_size(20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hodrick-Prescott Filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Hodrick-Prescott filter separates a time-series $y_t$ into a trend $\\tau_t$ and a cyclical component $\\zeta_t$ \n",
    "\n",
    "$$y_t = \\tau_t + \\zeta_t$$\n",
    "\n",
    "The components are determined by minimizing the following quadratic loss function\n",
    "\n",
    "$$\\min_{\\\\{ \\tau_{t}\\\\} }\\sum_{t}^{T}\\zeta_{t}^{2}+\\lambda\\sum_{t=1}^{T}\\left[\\left(\\tau_{t}-\\tau_{t-1}\\right)-\\left(\\tau_{t-1}-\\tau_{t-2}\\right)\\right]^{2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(dta.realgdp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "gdp_decomp = dta[['realgdp']].copy()\n",
    "gdp_decomp[\"cycle\"] = gdp_cycle\n",
    "gdp_decomp[\"trend\"] = gdp_trend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "gdp_decomp[[\"realgdp\", \"trend\"]][\"2000-03-31\":].plot(ax=ax, fontsize=16);\n",
    "legend = ax.get_legend()\n",
    "legend.prop.set_size(20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Baxter-King approximate band-pass filter: Inflation and Unemployment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Explore the hypothesis that inflation and unemployment are counter-cyclical."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Baxter-King filter is intended to explicitly deal with the periodicity of the business cycle. By applying their band-pass filter to a series, they produce a new series that does not contain fluctuations at higher or lower than those of the business cycle. Specifically, the BK filter takes the form of a symmetric moving average \n",
    "\n",
    "$$y_{t}^{*}=\\sum_{k=-K}^{k=K}a_ky_{t-k}$$\n",
    "\n",
    "where $a_{-k}=a_k$ and $\\sum_{k=-k}^{K}a_k=0$ to eliminate any trend in the series and render it stationary if the series is I(1) or I(2).\n",
    "\n",
    "For completeness, the filter weights are determined as follows\n",
    "\n",
    "$$a_{j} = B_{j}+\\theta\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n",
    "\n",
    "$$B_{0} = \\frac{\\left(\\omega_{2}-\\omega_{1}\\right)}{\\pi}$$\n",
    "$$B_{j} = \\frac{1}{\\pi j}\\left(\\sin\\left(\\omega_{2}j\\right)-\\sin\\left(\\omega_{1}j\\right)\\right)\\text{ for }j=0,\\pm1,\\pm2,\\dots,\\pm K$$\n",
    "\n",
    "where $\\theta$ is a normalizing constant such that the weights sum to zero.\n",
    "\n",
    "$$\\theta=\\frac{-\\sum_{j=-K^{K}b_{j}}}{2K+1}$$\n",
    "\n",
    "$$\\omega_{1}=\\frac{2\\pi}{P_{H}}$$\n",
    "\n",
    "$$\\omega_{2}=\\frac{2\\pi}{P_{L}}$$\n",
    "\n",
    "$P_L$ and $P_H$ are the periodicity of the low and high cut-off frequencies. Following Burns and Mitchell's work on US business cycles which suggests cycles last from 1.5 to 8 years, we use $P_L=6$ and $P_H=32$ by default."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "bk_cycles = sm.tsa.filters.bkfilter(dta[[\"infl\",\"unemp\"]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* We lose K observations on both ends. It is suggested to use K=12 for quarterly data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,10))\n",
    "ax = fig.add_subplot(111)\n",
    "bk_cycles.plot(ax=ax, style=['r--', 'b-']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Christiano-Fitzgerald approximate band-pass filter: Inflation and Unemployment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Christiano-Fitzgerald filter is a generalization of BK and can thus also be seen as weighted moving average. However, the CF filter is asymmetric about $t$ as well as using the entire series. The implementation of their filter involves the\n",
    "calculations of the weights in\n",
    "\n",
    "$$y_{t}^{*}=B_{0}y_{t}+B_{1}y_{t+1}+\\dots+B_{T-1-t}y_{T-1}+\\tilde B_{T-t}y_{T}+B_{1}y_{t-1}+\\dots+B_{t-2}y_{2}+\\tilde B_{t-1}y_{1}$$\n",
    "\n",
    "for $t=3,4,...,T-2$, where\n",
    "\n",
    "$$B_{j} = \\frac{\\sin(jb)-\\sin(ja)}{\\pi j},j\\geq1$$\n",
    "\n",
    "$$B_{0} = \\frac{b-a}{\\pi},a=\\frac{2\\pi}{P_{u}},b=\\frac{2\\pi}{P_{L}}$$\n",
    "\n",
    "$\\tilde B_{T-t}$ and $\\tilde B_{t-1}$ are linear functions of the $B_{j}$'s, and the values for $t=1,2,T-1,$ and $T$ are also calculated in much the same way. $P_{U}$ and $P_{L}$ are as described above with the same interpretation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CF filter is appropriate for series that may follow a random walk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-2.5364584673346315, 0.10685366457233586, 9)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta['unemp'])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-3.0545144962572373, 0.030107620863485774, 2)\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.stattools.adfuller(dta['infl'])[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                infl     unemp\n",
      "1959-03-31  0.237927 -0.216867\n",
      "1959-06-30  0.770007 -0.343779\n",
      "1959-09-30  1.177736 -0.511024\n",
      "1959-12-31  1.256754 -0.686967\n",
      "1960-03-31  0.972128 -0.770793\n",
      "1960-06-30  0.491889 -0.640601\n",
      "1960-09-30  0.070189 -0.249741\n",
      "1960-12-31 -0.130432  0.301545\n",
      "1961-03-31 -0.134155  0.788992\n",
      "1961-06-30 -0.092073  0.985356\n"
     ]
    }
   ],
   "source": [
    "cf_cycles, cf_trend = sm.tsa.filters.cffilter(dta[[\"infl\",\"unemp\"]])\n",
    "print(cf_cycles.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,10))\n",
    "ax = fig.add_subplot(111)\n",
    "cf_cycles.plot(ax=ax, style=['r--','b-']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Filtering assumes *a priori* that business cycles exist. Due to this assumption, many macroeconomic models seek to create models that match the shape of impulse response functions rather than replicating properties of filtered series. See VAR notebook."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
